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10282309940 = 225731579547
BaseRepresentation
bin10011001001101111…
…11001100100110100
3222112120222110120002
421210313321210310
5132024232404230
64420145330432
7512543123000
oct114467714464
928476873502
1010282309940
1143a7106711
121bab636a18
13c7b333386
146d784d700
15402a75545
hex264df9934

10282309940 has 96 divisors (see below), whose sum is σ = 25344211200. Its totient is φ = 3502541952.

The previous prime is 10282309931. The next prime is 10282309963. The reversal of 10282309940 is 4990328201.

It is a junction number, because it is equal to n+sod(n) for n = 10282309894 and 10282309903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072247 + ... + 1081793.

It is an arithmetic number, because the mean of its divisors is an integer number (264002200).

Almost surely, 210282309940 is an apocalyptic number.

10282309940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10282309940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12672105600).

10282309940 is an abundant number, since it is smaller than the sum of its proper divisors (15061901260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10282309940 is a wasteful number, since it uses less digits than its factorization.

10282309940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9734 (or 9718 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The spelling of 10282309940 in words is "ten billion, two hundred eighty-two million, three hundred nine thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 157 196 245 314 343 490 628 686 785 980 1099 1372 1570 1715 2198 3140 3430 4396 5495 6860 7693 9547 10990 15386 19094 21980 30772 38188 38465 47735 53851 66829 76930 95470 107702 133658 153860 190940 215404 267316 269255 334145 467803 538510 668290 935606 1077020 1336580 1498879 1871212 2339015 2997758 3274621 4678030 5995516 6549242 7494395 9356060 10492153 13098484 14988790 16373105 20984306 29977580 32746210 41968612 52460765 65492420 73445071 104921530 146890142 209843060 293780284 367225355 514115497 734450710 1028230994 1468901420 2056461988 2570577485 5141154970 10282309940